{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "43c9d531-d014-4364-ad42-676fcf58636d",
   "metadata": {},
   "source": [
    "Chapter 04\n",
    "# 常见插值方法\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "77f73206-b3b6-44af-b1ca-6738098b0b68",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.interpolate import interp1d\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f86e0ed0-2d32-4b6e-89db-9c875dc985be",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_known = np.linspace(0, 6, num=7, endpoint=True)\n",
    "y_known = np.sin(x_known)\n",
    "# y_known = np.array([-1, -1, -1, 0, 1, 1, 1]) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dcde5c34-ae08-4795-9daf-a16813683f2c",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_fine  = np.linspace(0, 6, num=300, endpoint=True)\n",
    "y_fine  = np.sin(x_fine)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "95a5e469-f1ea-40d6-93a9-15e812289e40",
   "metadata": {},
   "outputs": [],
   "source": [
    "methods = ['previous', 'next', 'nearest', 'linear', 'cubic']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "808186e7-6cb0-4cde-ad92-3f6f72febce1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for kind in methods:\n",
    "    \n",
    "    f_prev = interp1d(x_known, y_known, kind = kind)\n",
    "\n",
    "    fig, axs = plt.subplots()\n",
    "    plt.plot(x_known, y_known, 'or')\n",
    "    plt.plot(x_fine,  y_fine, 'r--',  linewidth = 0.25)\n",
    "    plt.plot(x_fine,  f_prev(x_fine), linewidth = 1.5)\n",
    "    \n",
    "    for xc in x_known:\n",
    "        plt.axvline(x=xc, color = [0.6, 0.6, 0.6], linewidth = 0.25)\n",
    "    \n",
    "    plt.axhline(y=0, color = 'k', linewidth = 0.25)\n",
    "    plt.autoscale(enable=True, axis='x', tight=True)\n",
    "    plt.autoscale(enable=True, axis='y', tight=True)\n",
    "    plt.xlabel('x'); plt.ylabel('y')\n",
    "    plt.ylim([-1.1,1.1])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
